Tribological modeling: Application of fast Fourier transform

Tribological modeling: Application of fast Fourier transform
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DOI:
10.1016/j.triboint.2007.02.004
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发表时间:
2007-08
影响因子:
6.2
通讯作者:
Shuangbiao Liu;D. Hua;Wei Chen-;Q. Wang
Shuangbiao Liu;D. Hua;Wei Chen-;Q. Wang
中科院分区:
工程技术1区
文献类型:
--
作者:
Shuangbiao Liu;D. Hua;Wei Chen-;Q. Wang

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快速傅立叶变换(FFT)技术正成为摩擦学建模的重要工具,因为基于FFT的算法可以非常准确和高效。然而,某些微妙的问题应该得到适当的处理,以便实现高效和准确的FFT实现。本文讨论了三种典型卷积、两个卷积定理、影响系数和形函数的应用,以及区域大小的影响。本文还探讨了快速傅里叶变换在反问题和周期接触问题中的应用,并总结了基于快速傅立叶变换的各种接触问题的现有算法。
The fast Fourier transform (FFT) technique is becoming an important tool in tribological modeling because an FFT-based algorithm can be extremely accurate and efficient. However, certain subtle issues should be properly dealt with so that efficient and accurate FFT implementation can be achieved. This paper discusses the use of three typical convolutions, two convolution theorems, influence coefficients, and shape functions, as well as the influence of domain size. This paper also explores the applications of FFT to inverse problems and periodic contacts and summarizes available FFT-based algorithms for solving various contact problems.